Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120i |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50216785920 = 211 · 36 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13347,593406] |
[a1,a2,a3,a4,a6] |
Generators |
[70:46:1] |
Generators of the group modulo torsion |
j |
176123461698/33635 |
j-invariant |
L |
6.8805442326723 |
L(r)(E,1)/r! |
Ω |
1.093696331304 |
Real period |
R |
3.1455459958827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680h2 |
Quadratic twists by: -3 |